Common Core State Standards Content Area: Mathematics Grade Level: High school Domain: Geometric models Cluster: Apply geometric concepts in modeling situations Standard:
1. Use geometric shapes, their measures, and their properties to describe objects.
2. Apply Concepts of density based on area and volume in modeling situations.
3. Apply geometric methods to solve design problems.
What understandings are desired?
Students will understand that:(U)
Geometric shapes, their measures, and properties can be used to describe models.
Density can be based on area and volume in modeling situations.
Geometric methods can be used to solve design problems.
What essential questions will be considered?
Essential Questions:(Q)
How can we use geometric shapes to describe objects?
How can we use density in modeling situations?
How can we use geometric methods to solve design problems?
What key knowledge and skills will students acquire as a result of this unit?
Students will know:(K)
Students will be able to:(S)
•Measurement units: BTU, density, liquid measurements
•Formulas: area and volume formulas, conversion formulas
•Terms: optimization, typographic grid
•Evaluate the volume and surface area of a solid.
•Interpret population and other densities.
•Test optimization strategies.
•Compare how volume and surface area are related.
•Consider how design problems exist in the real world.
•Realize how shapes can be used to describe models.
Stage 1 - Identify Desired Results
Content Area: Mathematics
Grade Level: High school
Domain: Geometric models
Cluster: Apply geometric concepts in modeling situations
Standard:
1. Use geometric shapes, their measures, and their properties to describe objects.
2. Apply Concepts of density based on area and volume in modeling situations.
3. Apply geometric methods to solve design problems.
What understandings are desired?
Density can be based on area and volume in modeling situations.
Geometric methods can be used to solve design problems.
What essential questions will be considered?
How can we use density in modeling situations?
How can we use geometric methods to solve design problems?
What key knowledge and skills will students acquire as a result of this unit?
•Formulas: area and volume formulas, conversion formulas
•Terms: optimization, typographic grid
•Interpret population and other densities.
•Test optimization strategies.
•Compare how volume and surface area are related.
•Consider how design problems exist in the real world.
•Realize how shapes can be used to describe models.
2004 ASCD and Grant Wiggins and Jay McTighe.